Geometric Particle-in-Cell methods for the Vlasov-Maxwell equations with spin effects

The decomposition on a ban- delet basis is computed using a wavelet filter bank followed by adaptive geometric orthogonal filters, that require O(N) operations.. The resulting

FIG. Schematic level structure corresponding to various combination modes. Explanation as in Fig.. in each triplet is based on energy only and the numbering of the triplets

Another approach to discrete isothermic surfaces in spaceforms via conserved quantities and discrete line bundles has been proposed in [7, 9], encompassing constant mean curvature

In the framework of split FEM [3, 4], we introduce approximations of the mass matrices in the metric equations resulting in a structure-preserving discretization of the split

Raviart, A boundary value problem for the stationary Vlasov- Poisson equations : the plane diode, Comm. Guo, Global weak solutions of the Vlasov-Maxwell system with boundary

However, compared to the simulation presented in the previ- ous section, for sufficiently long integration times, we observe a better energy conservation for the Hamiltonian

In comparison, the Lie Hamiltonian splitting method gives better results: the relative charge is preserved in the level of 10 −11 ; the relative energy error oscillates in the level

The idea underlying this schemes relies (see [14]) on a time splitting scheme between configuration space and velocity space for the Vlasov equation and on the computation of